Turner went to court to basically try silence his baby mamas, but doesn’t seem to be working out too well.

Turner and baby mama Maria Grissom are battling in court over Turner’s daycare payments for their daughter. According to documents filed in Georgia, Grissom claims the Atlanta Falcons superstar NEVER pays his daughter’s school money on time is demanding he pay her up to four years in advance … to the tune of $59,121.

But Turner is firing back … claiming he DOES pay the school on time and it’s Grissom who is in the wrong … blasting his personal life drama all over her Twitter account in violation of their court agreement.

In the docs, Grissom admits to the Twitter rampage, but is adamant that it’s Turner’s fault … claiming she had to defend her reputation ever since one of Turner’s OTHER baby mamas (he has5 in all) was involved in a “ghetto fight” at his house that made national news.

I am not sure how you can ban someone from Tweeting, she could always start a fake account and Tweet whatever she likes. Deion Sanders would file a police report, but I digress.